Day 13 - Homework
Graph the systems of inequalities and find the vertices of the feasible set.
x  4

x  9
1. 
y  2
y  2

3.
x  5

8x  2y  8

x  2y  6
x  y  5

x  y  4

x  y  0
2. 
x  y  3
 x  y  4

4.
x  y  3

3x  2y  6

 x  1
x  3

A couple of word problems
1.You work out at least 10 hours a week, but no more than 15 hours a week. You divide your exercise
time between swimming and running. This week you want to spend at least twice the amount of time
on swimming as on running.
a. Define your variables
b. Write a system of Linear inequalities that
describes the information given above.
c. Graph the Linear System:
d. Give two possible workout plans
2. The tickets for a school play cost $8 for adults and $5 for students. The auditorium in which the play
is being held can hold at most 525 people. The organizers of the school play must make at least $3000
to cover the costs for the play. We are trying to find out possible combinations of adult and student
tickets that need to be sold.
a. Define your variables
b. Write a system of Linear inequalities that
describes the information given above.
c. Graph the Linear System:
d. Give one possible combination of adult and
student tickets that could be sold while still
meeting the goal?